7L 7s

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↖ 6L 6s ↑ 7L 6s 8L 6s ↗
← 6L 7s 7L 7s 8L 7s →
↙ 6L 8s ↓ 7L 8s 8L 8s ↘ 
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
│║│║│║│║│║│║│║││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLsLs
sLsLsLsLsLsLsL
Equave 2/1 (1200.0¢)
Period 1\7 (171.4¢)
Generator size
Bright 1\14 to 1\7 (85.7¢ to 171.4¢)
Dark 0\7 to 1\14 (0.0¢ to 85.7¢)
Related MOS scales
Parent 7L 0s
Sister 7L 7s
Daughters 14L 7s, 7L 14s
Neutralized 14L 0s
2-Flought 21L 7s, 7L 21s
Equal tunings
Equalized (L:s = 1:1) 1\14 (85.7¢)
Supersoft (L:s = 4:3) 4\49 (98.0¢)
Soft (L:s = 3:2) 3\35 (102.9¢)
Semisoft (L:s = 5:3) 5\56 (107.1¢)
Basic (L:s = 2:1) 2\21 (114.3¢)
Semihard (L:s = 5:2) 5\49 (122.4¢)
Hard (L:s = 3:1) 3\28 (128.6¢)
Superhard (L:s = 4:1) 4\35 (137.1¢)
Collapsed (L:s = 1:0) 1\7 (171.4¢)

7L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 7 small steps, with a period of 1 large step and 1 small step that repeats every 171.4¢, or 7 times every octave. Generators that produce this scale range from 85.7¢ to 171.4¢, or from 0¢ to 85.7¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. This scale appears as the Whitewood chromatic scale.

Modes

Modes of 7L 7s
UDP Cyclic
order		 Step
pattern
7|0(7) 1 LsLsLsLsLsLsLs
0|7(7) 2 sLsLsLsLsLsLsL

Intervals

Intervals of 7L 7s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Minor 1-mosstep m1ms s 0.0¢ to 85.7¢
Major 1-mosstep M1ms L 85.7¢ to 171.4¢
2-mosstep Perfect 2-mosstep P2ms L + s 171.4¢
3-mosstep Minor 3-mosstep m3ms L + 2s 171.4¢ to 257.1¢
Major 3-mosstep M3ms 2L + s 257.1¢ to 342.9¢
4-mosstep Perfect 4-mosstep P4ms 2L + 2s 342.9¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 342.9¢ to 428.6¢
Major 5-mosstep M5ms 3L + 2s 428.6¢ to 514.3¢
6-mosstep Perfect 6-mosstep P6ms 3L + 3s 514.3¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 514.3¢ to 600.0¢
Major 7-mosstep M7ms 4L + 3s 600.0¢ to 685.7¢
8-mosstep Perfect 8-mosstep P8ms 4L + 4s 685.7¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 685.7¢ to 771.4¢
Major 9-mosstep M9ms 5L + 4s 771.4¢ to 857.1¢
10-mosstep Perfect 10-mosstep P10ms 5L + 5s 857.1¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 857.1¢ to 942.9¢
Major 11-mosstep M11ms 6L + 5s 942.9¢ to 1028.6¢
12-mosstep Perfect 12-mosstep P12ms 6L + 6s 1028.6¢
13-mosstep Minor 13-mosstep m13ms 6L + 7s 1028.6¢ to 1114.3¢
Major 13-mosstep M13ms 7L + 6s 1114.3¢ to 1200.0¢
14-mosstep Perfect 14-mosstep P14ms 7L + 7s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 7L 7s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\14 85.714 85.714 1:1 1.000 Equalized 7L 7s
6\77 93.506 77.922 6:5 1.200
5\63 95.238 76.190 5:4 1.250
9\112 96.429 75.000 9:7 1.286
4\49 97.959 73.469 4:3 1.333 Supersoft 7L 7s
11\133 99.248 72.180 11:8 1.375
7\84 100.000 71.429 7:5 1.400
10\119 100.840 70.588 10:7 1.429
3\35 102.857 68.571 3:2 1.500 Soft 7L 7s
11\126 104.762 66.667 11:7 1.571
8\91 105.495 65.934 8:5 1.600
13\147 106.122 65.306 13:8 1.625
5\56 107.143 64.286 5:3 1.667 Semisoft 7L 7s
12\133 108.271 63.158 12:7 1.714
7\77 109.091 62.338 7:4 1.750
9\98 110.204 61.224 9:5 1.800
2\21 114.286 57.143 2:1 2.000 Basic 7L 7s
9\91 118.681 52.747 9:4 2.250
7\70 120.000 51.429 7:3 2.333
12\119 121.008 50.420 12:5 2.400
5\49 122.449 48.980 5:2 2.500 Semihard 7L 7s
13\126 123.810 47.619 13:5 2.600
8\77 124.675 46.753 8:3 2.667
11\105 125.714 45.714 11:4 2.750
3\28 128.571 42.857 3:1 3.000 Hard 7L 7s
10\91 131.868 39.560 10:3 3.333
7\63 133.333 38.095 7:2 3.500
11\98 134.694 36.735 11:3 3.667
4\35 137.143 34.286 4:1 4.000 Superhard 7L 7s
9\77 140.260 31.169 9:2 4.500
5\42 142.857 28.571 5:1 5.000
6\49 146.939 24.490 6:1 6.000
1\7 171.429 0.000 1:0 → ∞ Collapsed 7L 7s


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